Generalized coordinate gauge, nonabelian Stokes theorem and the dual QCD Lagrangian

Shevchenko, V.; Simonov, Yu. A.

doi:10.1016/s0370-2693(98)00884-3

Cited by 32 publications

(37 citation statements)

References 17 publications

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“…Such contours are called in the following standard contours. The most important constraints in the choice of the standard contours are the absence of self-intersection and the existence of a standard contour connecting the reference point to any other point [6,7].…”

Section: Explicit Construction Using Wilson Linesmentioning

confidence: 99%

Wilson lines and orbital angular momentum

Lorcé

2013

Physics Letters B

112

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We present an explicit realization of the Chen et al. approach to the proton spin decomposition in terms of Wilson lines, generalizing the light-front gauge-invariant extensions discussed recently by Hatta. Particular attention is drawn to the residual gauge freedom by further separating the pure-gauge term into contour and residual terms. We show that the kinetic orbital angular momentum operator can be expressed in terms of the Wigner operator only when the momentum variable is integrated over. Finally, we confirm from twist-2 arguments that the advanced, retarded and antisymmetric light-front canonical orbital angular momenta are the same.

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Section: Explicit Construction Using Wilson Linesmentioning

confidence: 99%

Wilson lines and orbital angular momentum

Lorcé

2013

Physics Letters B

112

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“…however, as we already discussed in details, all these perturbative terms are canceled by those from higher FCs [12] (triple, quartic, etc...), therefore expansion in fact starts with np terms of dimension four.…”

Section: Pos(qcd-tnt09)042mentioning

confidence: 99%

“…Thus we assume (and confirm aposteriori) that the following decomposition takes place (vanishing of the perturbative part of D(z) is shown in [12] …”

Section: Pos(qcd-tnt09)042mentioning

confidence: 99%

Confinement, deconfinement and chiral symmetry breaking in QCD

Simonov¹

2010

Proceedings of International Workshop on QCD Green’s Functions, Confinement and Phenomenology — PoS(QCD-TNT09)

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Confinement is ensured by quadratic colorelectric field correlators of special type, denoted by D E (x). The latter together with four other quadratic correlators, D H , D E 1 , D H 1 and D EH support most of perturbative and nonperturbative dynamics, while contribution of higher order terms is shown to be small. These correlators, on the other hand, can be calculated via gluelump Green's function, where dynamics is defined by the correlators themselves. In this way one obtains a self-consistent scheme, where string tension can be expressed in terms of Λ QCD . This confinement mechanism ensures also chiral symmetry breaking and disappears at

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“…With some natural constraints on the choice of the contours C, it was shown in [65], [66] (see also [68]) that the above way of fixing the gauge is equivalent to taking gauges satisfying the condition…”

Section: Gauge-and Path-independence Of the Evolution Matrix Formentioning

confidence: 99%

Are There Infinitely Many Decompositions of the Nucleon Spin?

Wakamatsu

2014

Int. J. Mod. Phys. Conf. Ser.

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We discuss the uniqueness or non-uniqueness problem of the decomposition of the gluon field into the physical and pure-gauge components, which is the basis of the recently proposed two physically inequivalent gauge-invariant decompositions of the nucleon spin. It is crucialy important to recognize the fact that the standard gauge fixing procedure is essentially a process of projecting out the physical components of the massless gauge field. A complexity of the nonabelian gauge theory as compared with the abelian case is that a closed expression for the physical component can be given only with use of the non-local Wilson line, which is generally path-dependent. It is known that, by choosing an infinitely long straight-line path in space and time, the direction of which is characterized by a constant 4-vector n µ , one can cover a class of gauge called the general axial gauge, containing three popular gauges, i.e. the temporal, the light-cone, and the spatial axial gauge. Within this general axial gauge, we have calculated the 1-loop evolution matrix for the quark and gluon longitudinal spins in the nucleon. We found that the final answer is exactly the same independently of the choices of n µ , which amounts to proving the gauge-independence and path-independence simultaneously, although within a restricted class of gauges and paths.By drawing on all of these findings together with well-established knowledge from gauge theories, we argue against the rapidly spreading view in the community that there are infinitely many decompositions of the nucleon spin.

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Generalized coordinate gauge, nonabelian Stokes theorem and the dual QCD Lagrangian

Cited by 32 publications

References 17 publications

Wilson lines and orbital angular momentum

Wilson lines and orbital angular momentum

Confinement, deconfinement and chiral symmetry breaking in QCD

Are There Infinitely Many Decompositions of the Nucleon Spin?

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